Question

Question

Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−1/3+4

Answer 1

Explanation:

Hello:

an equation for the line is : y =mx +b (m: is a slope )

perpendicular to the line described by : y = -1/3 x +4

So : product for two slopes = -1 means : m×-1/3=-1

m = 3

now : y = 3 x+b

but this line :

through the point (4,3) : 3 =3(4)+b....... b=-9

conclusion :

the equation is : y =3x -9